Hα-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations

S. F. Ma; Z. W. Yang; M. Z. Liu

doi:10.1016/j.jmaa.2007.02.035

H_α-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations

S. F. Ma^*
, Z. W. Yang
, M. Z. Liu

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, we investigate H_α-stability of algebraically stable Runge-Kutta methods with a variable stepsize for nonlinear neutral pantograph equations. As a result, the Radau IA, Radau IIA, Lobatto IIIC method, the odd-stage Gauss-Legendre methods and the one-leg θ-method with frac(1, 2) ≤ θ ≤ 1 are H_α-stable for nonlinear neutral pantograph equations. Some experiments are given.

Original language	English
Pages (from-to)	1128-1142
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	335
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.02.035
State	Published - 15 Nov 2007

Keywords

Algebraic stability
H-stability
Modified Runge-Kutta methods
Nonlinear neutral pantograph equation

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10.1016/j.jmaa.2007.02.035

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title = "Hα-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations",

abstract = "In this paper, we investigate Hα-stability of algebraically stable Runge-Kutta methods with a variable stepsize for nonlinear neutral pantograph equations. As a result, the Radau IA, Radau IIA, Lobatto IIIC method, the odd-stage Gauss-Legendre methods and the one-leg θ-method with frac(1, 2) ≤ θ ≤ 1 are Hα-stable for nonlinear neutral pantograph equations. Some experiments are given.",

keywords = "Algebraic stability, H-stability, Modified Runge-Kutta methods, Nonlinear neutral pantograph equation",

author = "Ma, \{S. F.\} and Yang, \{Z. W.\} and Liu, \{M. Z.\}",

year = "2007",

month = nov,

day = "15",

doi = "10.1016/j.jmaa.2007.02.035",

language = "英语",

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T1 - Hα-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations

AU - Ma, S. F.

AU - Yang, Z. W.

AU - Liu, M. Z.

PY - 2007/11/15

Y1 - 2007/11/15

N2 - In this paper, we investigate Hα-stability of algebraically stable Runge-Kutta methods with a variable stepsize for nonlinear neutral pantograph equations. As a result, the Radau IA, Radau IIA, Lobatto IIIC method, the odd-stage Gauss-Legendre methods and the one-leg θ-method with frac(1, 2) ≤ θ ≤ 1 are Hα-stable for nonlinear neutral pantograph equations. Some experiments are given.

AB - In this paper, we investigate Hα-stability of algebraically stable Runge-Kutta methods with a variable stepsize for nonlinear neutral pantograph equations. As a result, the Radau IA, Radau IIA, Lobatto IIIC method, the odd-stage Gauss-Legendre methods and the one-leg θ-method with frac(1, 2) ≤ θ ≤ 1 are Hα-stable for nonlinear neutral pantograph equations. Some experiments are given.

KW - Algebraic stability

KW - H-stability

KW - Modified Runge-Kutta methods

KW - Nonlinear neutral pantograph equation

UR - https://www.scopus.com/pages/publications/34447327863

U2 - 10.1016/j.jmaa.2007.02.035

DO - 10.1016/j.jmaa.2007.02.035

M3 - 文章

AN - SCOPUS:34447327863

SN - 0022-247X

VL - 335

SP - 1128

EP - 1142

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

H_α-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations

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Keywords

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